Abstract
In several numerical and experimental studies [1, 2] on freely evolving or decaying two-dimensional (2D) turbulence on a square bounded domain it is observed that a flow, initially containing no net angular momentum (L), spontaneously acquires angular momentum by flow-wall interaction. From earlier work, by Li and Montgomery [3], it could be conjectured that on a circular domain with a no-slip boundary angular momentum production is absent. Decaying turbulence experiments in stratified fluids conducted a few years later by Maassen et al. [4] provided additional evidence supporting this conjecture. These observations have recently been confirmed by Schneider and Farge [5] for decaying 2D turbulence with substantially higher initial integral scale Reynolds numbers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
H.J.H. Clercx, S.R. Maassen and G.J.F. van Heijst, Phys. Rev. Lett., 80, 5129 (1998).
S.R. Maassen, H.J.H. Clercx and G.J.F. van Heijst, Phys. Fluids, 14, 2150 (2002).
S. Li and D. Montgomery, J. Plasma Phys., 56, 615 (1996).
S.R. Maassen, H.J.H. Clercx and G.J.F. van Heijst, Europhys. Lett. 46, 339 (1999).
K. Schneider and M. Farge, Phys. Rev. Lett. 95, 244502 (2005).
E. Arquis and J.P. Caltagirone, C. R. Acad. Sci. Paris, 299 (1984).
Ph. Angot, C.-H. Bruneau and P. Fabrie, Numer. Math. 81, 497 (1999).
G.H. Keetels, H.J.H. Clercx and G.J.F. van Heijst, Physica D, in press (2009).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Keetels, G.H., Clercx, H.J.H., van Heijst, G.J.F. (2009). The minimum-enstrophy principle for decaying 2D turbulence in circular domains. In: Eckhardt, B. (eds) Advances in Turbulence XII. Springer Proceedings in Physics, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03085-7_62
Download citation
DOI: https://doi.org/10.1007/978-3-642-03085-7_62
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03084-0
Online ISBN: 978-3-642-03085-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)